Search a number
-
+
74692328256 = 26337131727941
BaseRepresentation
bin100010110010000000…
…0100111101101000000
321010210102210102011000
41011210000213231000
52210432214001011
654151351452000
75252642212650
oct1054400475500
9233712712130
1074692328256
1129749965807
1212586387000
137074620550
143887ca8360
151e22540356
hex1164027b40

74692328256 has 448 divisors, whose sum is σ = 286161845760. Its totient is φ = 18539642880.

The previous prime is 74692328237. The next prime is 74692328297. The reversal of 74692328256 is 65282329647.

74692328256 is a `hidden beast` number, since 7 + 4 + 69 + 2 + 328 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2659246 + ... + 2687186.

It is an arithmetic number, because the mean of its divisors is an integer number (638754120).

Almost surely, 274692328256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74692328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143080922880).

74692328256 is an abundant number, since it is smaller than the sum of its proper divisors (211469517504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74692328256 is a wasteful number, since it uses less digits than its factorization.

74692328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27999 (or 27983 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 74692328256 in words is "seventy-four billion, six hundred ninety-two million, three hundred twenty-eight thousand, two hundred fifty-six".